What is the Least Common Multiple of 55683 and 55698?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 55683 and 55698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55683 and 55698, than apply into the LCM equation.

GCF(55683,55698) = 3
LCM(55683,55698) = ( 55683 × 55698) / 3
LCM(55683,55698) = 3101431734 / 3
LCM(55683,55698) = 1033810578

Least Common Multiple (LCM) of 55683 and 55698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55683 and 55698. First we will calculate the prime factors of 55683 and 55698.

Prime Factorization of 55683

Prime Factorization of 55698

Now multiplying the highest exponent prime factors to calculate the LCM of 55683 and 55698.

LCM(55683,55698) = 3² × 23¹ × 269¹ × 2¹ × 9283¹
LCM(55683,55698) = 1033810578